5385408 has 56 divisors (see below), whose sum is σ = 16288512. Its totient is φ = 1538304.

The previous prime is 5385377. The next prime is 5385409. The reversal of 5385408 is 8045835.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5385409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 660 + ... + 3347.

Almost surely, 2^5385408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5385408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8144256).

5385408 is an abundant number, since it is smaller than the sum of its proper divisors (10903104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5385408 is a wasteful number, since it uses less digits than its factorization.

5385408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4029 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 5385408 is about 2320.6481853137. The cubic root of 5385408 is about 175.2828948232.

The spelling of 5385408 in words is "five million, three hundred eighty-five thousand, four hundred eight".